24 citations · 212 across the 32 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math.DG2014★ 2 cited
Funk functions and projective deformations of sprays and Finsler spaces of scalar flag curvature
Ioan Bucataru
In 2001, Zhongmin Shen asked if it is possible for two projectively related Finsler metrics to have the same Riemann curvature tensor, [14, page 184]. In this paper, we provide an…
math.DG2014★ 6 cited
Generalized Helmholtz conditions for non-conservative Lagrangian systems
Ioan Bucataru, Oana Constantinescu
In this paper we provide generalized Helmholtz conditions, in terms of a semi-basic 1-form, which characterize when a given system of second order ordinary differential equations i…
math-ph2014★ 5 cited
Symmetries in Lagrangian Field Theory
Lucía Búa, Ioan Bucataru, Manuel de León +2
By generalizing the cosymplectic setting for time-dependent Lagrangian mechanics, we propose a geometric framework for the Lagrangian formulation of classical field theories with a…